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Enriched plane state formulation for nonlinear homogenization of in-plane masonry wall

  • Nonlinear Dynamics, Identification and Monitoring of Structures
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Abstract

The present study deals with the determination of the nonlinear response of the masonry regarded as a regular, i.e. periodic, composite material made of bricks and mortar. A homogenization procedure is applied deriving the masonry overall mechanical response on the basis of the study of a single unit cell. An enriched plane state kinematic model including the effect of the transversal strains of the masonry is presented. This is a simplified form of the full three-dimensional approach. Different cohesive constitutive models are introduced for the brick and mortar; in particular, the frictional effect, playing an important role in the masonry response, is accounted for in the mortar joints. Two main issues are addressed: (a) different structural models are considered at macro- and micro-scale: the macro-model is formulated in the two-dimensional plane state context, while the enriched plane state kinematic approach is adopted at the microlevel; (b) a nonlocal integral strain technique, able to overcome the classical localization drawbacks due to the softening response of the masonry constituents, is developed for the case of periodic media. Numerical applications are presented to assess the effectiveness of the proposed modeling approach.

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Acknowledgments

The authors wish to acknowledge ReLUIS (Italian Department of Civil Protection), the University of Cassino and Southern Lazio and the University of Rome Sapienza for the financial support.

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Authors and Affiliations

  1. Dipartimento di Ingegneria Strutturale e Geotecnica, Università di Roma Sapienza, Via Eudossiana 18, 00184, Rome, Italy

    Daniela Addessi

  2. Dipartimento di Ingegneria Civile e Meccanica, Università di Cassino e del Lazio Meridionale, Via G. Di Biasio 43, 03043, Cassino, Italy

    Elio Sacco

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  1. Daniela Addessi
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  2. Elio Sacco
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Correspondence to Elio Sacco.

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This paper is dedicated to Francesco Benedettini, who has always been interested in key aspects of Mechanics. Francesco often invited Elio Sacco to his department to discuss together common research topics.

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Addessi, D., Sacco, E. Enriched plane state formulation for nonlinear homogenization of in-plane masonry wall. Meccanica 51, 2891–2907 (2016). https://doi.org/10.1007/s11012-016-0484-1

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  • DOI: https://doi.org/10.1007/s11012-016-0484-1

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